Binomial theorem

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The binomial coefficient appears as the bt entry in the nt raw o Pascal's triangle (coontin stairts at 0). Ilk entry is the sum o the twa abuin it.

In elementar algebra, the binomial theorem (or binomial expansion) descrives the algebraic expansion o pouers o a binomial. Accordin tae the theorem, it is possible tae expand the polynomial (x + y)n intae a sum involvin terms o the form a xbyc, whaur the exponents b an c are nonnegative integers wi b + c = n, an the coefficient a o ilk term is a speceefic positive integer depending on n and b. For ensaumple (for n = 4),